Trigonometry Practice Question and Answer

Q:

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

381 0

  • 1
    $${2\over 7} $$
    Correct
    Wrong
  • 2
    $$-{2\over 3}$$
    Correct
    Wrong
  • 3
    $$-{2\over 7}$$
    Correct
    Wrong
  • 4
    $${2\over 7}$$
    Correct
    Wrong
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Answer : 3. " $$-{2\over 7}$$"

Q:

In △ABC, right angle at B, if   $$tan\ A={1\over 2}$$, then the value of $$sinA(cosC+cosA)\over cosC(sin C-sinA)$$ is :

380 0

  • 1
    2
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2√5
    Correct
    Wrong
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Answer : 3. "3"

Q:

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

379 0

  • 1
    cos θ
    Correct
    Wrong
  • 2
    cot θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sin θ
    Correct
    Wrong
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Answer : 1. "cos θ"

Q:

 if $$tan(A+B)=\sqrt { 3} \ $$ and $$ tan(A-B)= {1\over \sqrt { 3} \   }; 0^0<(A+B)<90^0;A>B, $$ then the value of A and B are

368 0

  • 1
    45° and 15°
    Correct
    Wrong
  • 2
    15° and 45°
    Correct
    Wrong
  • 3
    30° and 30°
    Correct
    Wrong
  • 4
    60° and 30°
    Correct
    Wrong
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Answer : 1. "45° and 15° "

Q:

If $$cosθ + cos^2θ= 1,$$find the value of $$\sqrt {sin^4θ+cos^2θ} \ $$

365 0

  • 1
    $$\sqrt {2cosθ} \ $$
    Correct
    Wrong
  • 2
    $$\sqrt {2sinθ} \ $$
    Correct
    Wrong
  • 3
    2 cosθ
    Correct
    Wrong
  • 4
    2 sinθ
    Correct
    Wrong
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Answer : 1. "$$\sqrt {2cosθ} \ $$"

Q:

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

365 0

  • 1
    3
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    $${1\over 2}$$
    Correct
    Wrong
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Answer : 4. "$${1\over 2}$$"

Q:

If sin2θ - 3sinθ + 2=0, the find the value of θ(00≤ θ≤900)

364 0

  • 1

    450

    Correct
    Wrong
  • 2

    00

    Correct
    Wrong
  • 3

    600

    Correct
    Wrong
  • 4

    900

    Correct
    Wrong
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Answer : 4. "

900

"

Q:

if $$ sinA= {4\over 5}$$, then what is the value of $$sin^2A$$

364 0

  • 1
    $$16\over 25$$
    Correct
    Wrong
  • 2
    $$26\over 25$$
    Correct
    Wrong
  • 3
    $$48\over 25$$
    Correct
    Wrong
  • 4
    $$36\over 25$$
    Correct
    Wrong
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Answer : 1. "$$16\over 25$$"

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